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66472662800 = 2452192460337
BaseRepresentation
bin111101111010000101…
…000101011100010000
320100120121001010220002
4331322011011130100
52042114000202200
650312003505132
74542153211505
oct757205053420
9210517033802
1066472662800
11262110a3465
1210a716881a8
13636472908b
14330837d4ac
151ae0b03bd5
hexf7a145710

66472662800 has 90 divisors (see below), whose sum is σ = 168548615658. Its totient is φ = 25189585920.

The previous prime is 66472662793. The next prime is 66472662811. The reversal of 66472662800 is 826627466.

It can be written as a sum of positive squares in 3 ways, for example, as 133448704 + 66339214096 = 11552^2 + 257564^2 .

It is a super-2 number, since 2×664726628002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 85769 + ... + 374568.

Almost surely, 266472662800 is an apocalyptic number.

It is an amenable number.

66472662800 is an abundant number, since it is smaller than the sum of its proper divisors (102075952858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66472662800 is a wasteful number, since it uses less digits than its factorization.

66472662800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460393 (or 460363 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 47.

The spelling of 66472662800 in words is "sixty-six billion, four hundred seventy-two million, six hundred sixty-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 361 380 400 475 722 760 950 1444 1520 1805 1900 2888 3610 3800 5776 7220 7600 9025 14440 18050 28880 36100 72200 144400 460337 920674 1841348 2301685 3682696 4603370 7365392 8746403 9206740 11508425 17492806 18413480 23016850 34985612 36826960 43732015 46033700 69971224 87464030 92067400 139942448 166181657 174928060 184134800 218660075 332363314 349856120 437320150 664726628 699712240 830908285 874640300 1329453256 1661816570 1749280600 2658906512 3323633140 3498561200 4154541425 6647266280 8309082850 13294532560 16618165700 33236331400 66472662800